PARAMETRIC IDENTIFICATION OF THE INCIDENT HEAT FLOW AS A FUNCTION OF TIME AND COORDINATES BY ITERATIVE REGULARIZATION
Background. The method of restoring the incident heat flow as a function of time is considered on the example of a virtual model of a parallelepiped. The purpose of this method is to find the global minimum of the parametric value of the heat flow from the problem of minimizing the root-mean-squar...
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| Format: | Article |
| Language: | English |
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Penza State University Publishing House
2022-12-01
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| Series: | Надежность и качество сложных систем |
| Subjects: |
| _version_ | 1828034569202302976 |
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| author | N.O. Borshchev |
| author_facet | N.O. Borshchev |
| author_sort | N.O. Borshchev |
| collection | DOAJ |
| description | Background. The method of restoring the incident heat flow as a function of time is considered on
the example of a virtual model of a parallelepiped. The purpose of this method is to find the global minimum of the
parametric value of the heat flow from the problem of minimizing the root-mean-square error between the theoretical
and experimental temperature field in the places where temperature sensors are installed. Materials and methods.
Tasks of this type are incorrect due to the noise or ambiguity of the input data, such as the thermophysical properties
of materials, the adequacy of the chosen formulation of the "direct" heat transfer problem, etc. To do this, this paper
uses the method of iterative regularization to overcome this incorrectness, where the iteration number acts as the regularized
parameter. The very problem of finding a global extremum is solved by the conjugate directions method, as the
most accurate method of the first order of convergence. Results and conclusions. An algorithm of parametric identification
has been developed. |
| first_indexed | 2024-04-10T15:35:04Z |
| format | Article |
| id | doaj.art-f06452717a3c4f089770230c26bb05c4 |
| institution | Directory Open Access Journal |
| issn | 2307-4205 |
| language | English |
| last_indexed | 2024-04-10T15:35:04Z |
| publishDate | 2022-12-01 |
| publisher | Penza State University Publishing House |
| record_format | Article |
| series | Надежность и качество сложных систем |
| spelling | doaj.art-f06452717a3c4f089770230c26bb05c42023-02-13T07:43:12ZengPenza State University Publishing HouseНадежность и качество сложных систем2307-42052022-12-01410.21685/2307-4205-2022-4-2PARAMETRIC IDENTIFICATION OF THE INCIDENT HEAT FLOW AS A FUNCTION OF TIME AND COORDINATES BY ITERATIVE REGULARIZATIONN.O. Borshchev0Astro Space Center Institutions of the Russian Academy of Sciences P.N. Lebedev Institute of PhysicsBackground. The method of restoring the incident heat flow as a function of time is considered on the example of a virtual model of a parallelepiped. The purpose of this method is to find the global minimum of the parametric value of the heat flow from the problem of minimizing the root-mean-square error between the theoretical and experimental temperature field in the places where temperature sensors are installed. Materials and methods. Tasks of this type are incorrect due to the noise or ambiguity of the input data, such as the thermophysical properties of materials, the adequacy of the chosen formulation of the "direct" heat transfer problem, etc. To do this, this paper uses the method of iterative regularization to overcome this incorrectness, where the iteration number acts as the regularized parameter. The very problem of finding a global extremum is solved by the conjugate directions method, as the most accurate method of the first order of convergence. Results and conclusions. An algorithm of parametric identification has been developed.boundary inverse heat conduction problemiterative regularizationconjugate directions methodbasis function |
| spellingShingle | N.O. Borshchev PARAMETRIC IDENTIFICATION OF THE INCIDENT HEAT FLOW AS A FUNCTION OF TIME AND COORDINATES BY ITERATIVE REGULARIZATION Надежность и качество сложных систем boundary inverse heat conduction problem iterative regularization conjugate directions method basis function |
| title | PARAMETRIC IDENTIFICATION OF THE INCIDENT HEAT FLOW AS A FUNCTION OF TIME AND COORDINATES BY ITERATIVE REGULARIZATION |
| title_full | PARAMETRIC IDENTIFICATION OF THE INCIDENT HEAT FLOW AS A FUNCTION OF TIME AND COORDINATES BY ITERATIVE REGULARIZATION |
| title_fullStr | PARAMETRIC IDENTIFICATION OF THE INCIDENT HEAT FLOW AS A FUNCTION OF TIME AND COORDINATES BY ITERATIVE REGULARIZATION |
| title_full_unstemmed | PARAMETRIC IDENTIFICATION OF THE INCIDENT HEAT FLOW AS A FUNCTION OF TIME AND COORDINATES BY ITERATIVE REGULARIZATION |
| title_short | PARAMETRIC IDENTIFICATION OF THE INCIDENT HEAT FLOW AS A FUNCTION OF TIME AND COORDINATES BY ITERATIVE REGULARIZATION |
| title_sort | parametric identification of the incident heat flow as a function of time and coordinates by iterative regularization |
| topic | boundary inverse heat conduction problem iterative regularization conjugate directions method basis function |
| work_keys_str_mv | AT noborshchev parametricidentificationoftheincidentheatflowasafunctionoftimeandcoordinatesbyiterativeregularization |